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Finding the Fourth Proportional to 8,202.87, 12,306.08 and 2,656.77

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Solution

The fourth proportional to 8,202.87, 12,306.08 and 2,656.77 is: 3,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.87 : 12,306.08 = 2,656.77 : x
  2. Step 2: Convert to fraction form
    8,202.87/12,306.08 = 2,656.77/x
  3. Step 3: Cross multiply
    8,202.87x = 12,306.08 × 2,656.77
  4. Step 4: Simplify right side
    8,202.87x = 32,694,424.16
  5. Step 5: Solve for x
    x = 32,694,424.16/8,202.87
  6. Step 6: Final answer
    x = 3,985.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.